Math 1044

Lecture Notes and Reading Schedule

• 1/19 - Lecture 1: Integration Basics

  • Reading for next class: Slides/notes on Integration By parts and Substitution.

• 1/21 - Lecture 2: Substitution and Integration By Parts

  • Reading for next class: Slides/notes on Improper Integration and Counting

• 1/26 - Lecture 3: Improper Integration and Basic Counting

  • Reading for next class: Slides/notes on Permutations and Combinations. Sec 1.1 - 1.4 of Ross.

• 1/28 - Lecture 4: More Counting - Permutations and Combinations

  • Reading for next class: Probability Axioms Slides/Notes. Ross 2.1 - 2.4, Adler 6.3.

• 2/02 - Lecture 5: Probability Axioms + More Counting

  • Reading: Biology Examples Slides, Adler 6.1 and 6.2.

• 2/04 - Lecture 6: More Probability Axioms

  • Reading: Biology Examples Slides, Adler 6.1 and 6.2.

• 2/09 - Lecture 7: Biology Examples

  • Reading: Conditional Probability and Bayes' Theorem Slides/Notes + Ross Ch 3, Adler 6.4.

• 2/11 - Lecture 8: Conditioning.

  • Reading: Conditional Probability and Bayes' Theorem Slides/Notes + Ross Ch 3, Adler 6.4, 6.5.

• 2/16 - Lecture 9: Conditioning and Bayes' Theorem

  • Reading: Finish reading up to Independence.

• 2/18 - Lecture 10: Independence

  • Reading: Study for Exam 1

• 2/23 - "Wellness Day"; class cancelled.

• 2/25 - Exam 1

  • Reading: Random variables notes/slides. Ch 4.1, 4.2, 5.1 in Ross, 6.7 in Adler.

• 3/02 - Lecture 11: Random Variables

  • Reading: Expectation Notes/slides. Ch 4.3, 4.4, 5.2, 5.3 in Ross, 6.8 in Adler.

• 3/04 - Lecture 12: Expected Value

  • Reading: Arithmetic Mean (the expected value), Median, Geometric Mean. Sec 6.9 in Adler.

• 3/09 - Lecture 13: Median and Geometric Mean

  • Reading: Mode and Variance notes/slides. Sec 4.4 and 4.5 in Ross, Sec 6.9 in Adler.

• 3/11 - Lecture 14: Variance.

  • Reading: Joint Distributions and Sums of RVs. Sec 6.1, 7.1, 7.2 in Ross, Sec 7.1 in Adler.

• 3/16 - Lecture 15: Joint Distributions

  • Reading: Products of RVs and Covariance. Sec 7.2 and 7.3 in Adler, 7.4 in Ross (Discrete only)

• 3/18 - Lecture 16: Covariance and Correlation

  • Reading: Binomial Distribution. Sec 7.4 in Adler, Sec 4.6 in Ross.

• 3/23 - Lecture 17: Joint Distribution + covariance + correlation discussion

  • Reading: Binomial Distribution. Sec 7.4 in Adler, Sec 4.6 in Ross.

• 3/25 - Lecture 18: Binomial Distribution

  • Reading: Study for Exam 2!

• 3/30 - Lecture 19: Exam 2 Review

  • Reading: Study for Exam 2

• 4/01 - Exam 2

• 4/06 - Lecture 20: Binomial Distribution, Part II

  • Reading: Normal Distribution

• 4/08 - Lecture 21: Normal Distribution

  • Reading: Geometric and Exponential Distributions

• 4/13 - Lecture 22: Geometric and Exponential Distributions

  • Reading: Poisson Distribution

• 4/15 - Lecture 23: Poisson Distribution

  • Reading: Limit Laws

• 4/20 - Lecture 24: Central Limit Theorem and Law of Large Numbers.

  • Reading: Review - LLN, CLT, and Chebyshev's Inequality.

• 4/23 - Lecture 25: Final Exam Review